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Popular Functions >

extreme f(x)=4x^2-1/x

Solution

extreme points

f (x) = 4 x^{2} - \frac{1}{x}

Solution

Minimum (- \frac{1}{2}, 3)

Solution steps

f^{'} (x) = 8 x + \frac{1}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - \frac{1}{2}

into

4 x^{2} - \frac{1}{x} : 3

Minimum (- \frac{1}{2}, 3)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=4x^2-1/x ?
The extreme f(x)=4x^2-1/x is Minimum(-1/2 ,3)